213064600 has 48 divisors (see below), whose sum is σ = 566146800. Its totient is φ = 73050240.

The previous prime is 213064573. The next prime is 213064601. The reversal of 213064600 is 6460312.

213064600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213064601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74695 + ... + 77494.

It is an arithmetic number, because the mean of its divisors is an integer number (11794725).

Almost surely, 2^213064600 is an apocalyptic number.

213064600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213064600 is an abundant number, since it is smaller than the sum of its proper divisors (353082200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213064600 is a wasteful number, since it uses less digits than its factorization.

213064600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152212 (or 152203 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 213064600 is about 14596.7325110793. The cubic root of 213064600 is about 597.2696310261.

The spelling of 213064600 in words is "two hundred thirteen million, sixty-four thousand, six hundred".